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Finding the Fourth Proportional to 13,709.19, 20,564.53 and 4,349.92

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Solution

The fourth proportional to 13,709.19, 20,564.53 and 4,349.92 is: 6,525.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,709.19 : 20,564.53 = 4,349.92 : x
  2. Step 2: Convert to fraction form
    13,709.19/20,564.53 = 4,349.92/x
  3. Step 3: Cross multiply
    13,709.19x = 20,564.53 × 4,349.92
  4. Step 4: Simplify right side
    13,709.19x = 89,454,060.34
  5. Step 5: Solve for x
    x = 89,454,060.34/13,709.19
  6. Step 6: Final answer
    x = 6,525.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.